Math practice for 13 year olds - page 421 of 428
Number of problems found: 8555
- Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Their common chord is 11 cm long. What is the distance between the centres of these circles? - Map
A forest has an area of 77 ha. What area does it occupy on a map at scale 1:10000? - Wire
Each pass of a wire through a drawing die reduces its diameter by 13%. What will the diameter of a wire be after 6 passes, if it starts with a diameter of 6 mm? - Estate
An estate has the shape of a right-angled trapezoid with parallel sides of 35 m and 65 m, and a perpendicular leg of 34 m. Calculate the total length of its fence. - The pipeline
How long is a pipe with an outer diameter of 1.4 m if painting it consumed 35 kg of paint? One kilogram of paint covers 9 m². - Raffle
In the pool number from 1 to 109. What is the probability that a randomly selected number is not prime? - Company
After increasing the number of employees by 9%, the company has 327 employees. How many employees take? - One half
One-half of 2 63 is: ... - Strange x
For what x is true x=19x? - Circumscription
Calculate the radius of the circumscribed circle of a rectangle with sides 3 and 6. Can a circle be inscribed in a rectangle? - Arc and segment
Calculate the length of circular arc l, the area of the circular arc S1, and the area of circular segment S2. The circle's radius is 88, and the corresponding angle is (4)/(7) π. - Money
Everyone complains about a lack of money. In reality, there is no shortage of money — only a relative scarcity of goods and services. By what percentage would the prices of all goods and services immediately rise if everyone suddenly had 9 times more mone - Square
Calculate the area of a square with diagonal 17 cm. - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Height 2
Calculate the height of an equilateral triangle with side 22. - Height
Is it true that in any right triangle, the altitude to the hypotenuse is less than or equal to half the hypotenuse? - Octagon
We have a square with side 56 cm. We cut the corners to create a regular octagon. What is the side length of the octagon? - Diofant 2
Is equation 1140x +876y = 48 solvable on the set of integers Z? - Diofant equation In the set of integers (Z), solve the equation: 212x +316y =0 Write result with integer parameter t in Z (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
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